Is the least count constant for Vernier scale or variables?

  • Thread starter Medicalboy
  • Start date
  • #1

Homework Statement


Is the least count constant for Vernier scale like 0.1 mm or variables?

2. The attempt at a solution

If the main scale readings are 10 mm and the vernier scale readings are 9 mm, the least count is MSD/VSD = 9/10 = 0.9 So the least count is 0.1 mm for every count in the vernier scale
again if MSD is 50 mm and VSD is 49 mm, the least count is MSD/VSD = 0.98 So the least count is 0.2 for every count in the vernier scale
 

Answers and Replies

  • #2
andrevdh
Homework Helper
2,128
116
The least count stays fixed for a particular vernier, they are the little steps the vernier can take with measurements. Your examples have one vernier with a 0.01 mm least count and the other with an 0.02 mm least count (note the extra 0 you omitted). This will stay the same for all measurements with the verniers. It does not change, that is the way the vernier is designed. The small scale divisions on the vernier scale each represents these least count values like for the 0.02 mm least count one the divisions on the vernier scale will be 0.02 mm, next division 0.04 mm, then 0.06 mm, 0.08 mm then 0.10 mm, that is the vernier division with a 1 digit next to it and so forth.
 
  • #3
The least count stays fixed for a particular vernier, they are the little steps the vernier can take with measurements. Your examples have one vernier with a 0.01 mm least count and the other with an 0.02 mm least count (note the extra 0 you omitted). This will stay the same for all measurements with the verniers. It does not change, that is the way the vernier is designed. The small scale divisions on the vernier scale each represents these least count values like for the 0.02 mm least count one the divisions on the vernier scale will be 0.02 mm, next division 0.04 mm, then 0.06 mm, 0.08 mm then 0.10 mm, that is the vernier division with a 1 digit next to it and so forth.
As you said above 'The least count stays fixed for a particular Vernier'.
When the main scale division is 9mm and the vernier scale division is 10 mm, we get the least count 0.01 mm, on the other hand, for the same scale, when the main scale division is 49 mm and the vernier scale division is 50 mm, then we get the least count 0.02 mm.
So why do we get different least counts for the same vernier scale? Could you explain it, please?
 
  • #4
andrevdh
Homework Helper
2,128
116
Those are 2 different cases, they do not apply to the same vernier, that is to my knowledge you find only one vernier scale on a particular caliper.
 
  • Like
Likes Medicalboy

Related Threads on Is the least count constant for Vernier scale or variables?

  • Last Post
Replies
5
Views
7K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
566
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
143
Replies
2
Views
5K
Replies
11
Views
4K
Replies
2
Views
7K
Replies
4
Views
2K
Top